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http://hdl.handle.net/10662/18273
| Title: | On Lie ideals satisfying certain differential identities in prime rings |
| Authors: | Dhara, B. Ghosh, S. Sandhu, G.S. |
| Keywords: | Prime ring;Derivation;Generalized derivation;Lie ideal |
| Issue Date: | 2023 |
| Publisher: | Universidad de Extremadura, Servicio de Publicaciones |
| Abstract: | Let R be a prime ring of characteristic not 2, L a nonzero square closed Lie ideal of R and let F : R →R, G : R → R be generalized derivations associated with derivations d : R → R, g : R → R respectively. In this paper, we study several conditions that imply that the Lie ideal is central. Moreover, it is shown that the assumption of primeness of R can not be removed. |
| URI: | http://hdl.handle.net/10662/18273 |
| ISSN: | 0213-8743 |
| DOI: | 10.17398/2605-5686.38.1.67 |
| Appears in Collections: | Extracta Mathematicae Vol. 38, nº 1 (2023) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2605-5686_38_1_67.pdf | 317,5 kB | Adobe PDF | View/Open |
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